Example 1: quicksort
function partition(list, start, end) {
const pivot = list[end];
let i = start;
for (let j = start; j < end; j += 1) {
if (list[j] <= pivot) {
[list[j], list[i]] = [list[i], list[j]];
i++;
}
}
[list[i], list[end]] = [list[end], list[i]];
return i;
}
function quicksort(list, start = 0, end = undefined) {
if (end === undefined) {
end = list.length - 1;
}
if (start < end) {
const p = partition(list, start, end);
quicksort(list, start, p - 1);
quicksort(list, p + 1, end);
}
return list;
}
quicksort([5, 4, 2, 6, 10, 8, 7, 1, 0]);
Example 2: analysis of quick sort
T(n) = 2*T(n/2) + n
= 2*[ 2*T(n/4) + n/2 ] + n
= 22*T(n/4) + n + n
= 22*T(n/4) + 2n
= 22*[ 2*T(n/8) + (n/4) ] + 2n
= 23*T(n/8) + 22*(n/4) + 2n
= 23*T(n/8) + n + 2n
= 23*T(n/8) + 3n
= 24*T(n/16) + 4n
and so on....
= 2k*T(n/(2k)) + k*n
= 2k*T(1) + k*n
= 2k*1 + k*n
= 2k + k*n
= n + k*n
= n + (lg(n))*n
= n*( lg(n) + 1 )
~= n*lg(n))
Example 3: quick sort
#include<stdio.h>
int partition(int arr[], int low, int high) {
int temp;
int pivot = arr[high];
int i = (low - 1);
for (int j = low; j <= high - 1; j++) {
if (arr[j] <= pivot) {
i++;
temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
}
temp = arr[i + 1];
arr[i + 1] = arr[high];
arr[high] = temp;
return (i + 1);
}
void quick_sort(int arr[], int low, int high) {
if (low < high) {
int pi = partition(arr, low, high);
quick_sort(arr, low, pi - 1);
quick_sort(arr, pi + 1, high);
}
}
int print(int arr[], int n) {
for(int i = 0; i < n; i++) {
printf("%d ", arr[i]);
}
}
int main()
{
int n, i;
scanf("%d", &n);
int arr[n];
for(i = 0; i < n; i++)
{
scanf("%d", &arr[i]);
}
quick_sort(arr, 0, n - 1);
print(arr, n);
}